I certainly don’t want to lose my multitool, but I think you can minimize the risk with a bit of technique. I have been using a proper arborist’s throw bag and slick line for many years to get my antennas and other things up into the trees and I have learned a few things. Rarely have I had an issue with the line wrapping around a branch when throwing a bag. It is far more likely to happen when pulling the bag back through the branches for another throw and only when pulling the bag back too quickly.
From my casual observations, in order for the the throw bag to wrap around a branch when throwing, it must still have sufficient velocity and the line must be taut causing the bag to change course and get rid of the energy. If the line is loose, the throw bag will simply continue on its trajectory until gravity takes over. Hanging an antenna for an activation is a more simple exercise involving a lower branch but these tips still applies to trying to get a line high up in a tree. Keep in mind that I am typically working with hardwood trees with a more open understory on an activation.
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Don’t overthrow - I want gravity to take over as soon as the throw bag clears the branch that is my target. If I miss the branch it will fall to the ground or a lower branch for easy retrieval. Since I am dealing with shorter heights and a fixed length of line, I will often avoid pulling the bag back through the trees for another throw if there are a lot of branches and just let it drop to the ground and pull the line from the other side. If you are pulling a throw bag back through the branches, go very slow as the bag approaches a branch. That is when the bag will typically start to swing like a pendulum and gets wrapped around a branch.
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Have plenty of loose line - I use around 40-50’ of slick throw line for my bear bag/SOTA needs with a small s-biner on each end. As I mentioned before, it is important for the line to not get taut before gravity takes overs so make sure that the line can spool out easily. I clip the s-biner on the near-end of the line to one of my belt loops. I learned this tip after watching far too many perfect throws end with the rest of the line following the throw bag over the branch!
I would say that my biggest issue when using a throw bag is not settling for my first throw and instead trying repeatedly to get the line over that ‘perfect’ branch. Maybe using a pendulum swing for my throw helps me create a better trajectory, but I have a bad shoulder and throw like a sissy anyway so it is my only real option. 
YMMV and all other disclaimers applied but unless I know that the summit will require a mast, I am happy with the throw bag and line.
73, pat - ki4svm